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Finding the Fourth Proportional to 7,464.87, 10,300.10 and 5,106.15

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Solution

The fourth proportional to 7,464.87, 10,300.10 and 5,106.15 is: 7,045.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,464.87 : 10,300.10 = 5,106.15 : x
  2. Step 2: Convert to fraction form
    7,464.87/10,300.10 = 5,106.15/x
  3. Step 3: Cross multiply
    7,464.87x = 10,300.10 × 5,106.15
  4. Step 4: Simplify right side
    7,464.87x = 52,593,830.08
  5. Step 5: Solve for x
    x = 52,593,830.08/7,464.87
  6. Step 6: Final answer
    x = 7,045.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.